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Finding the Third Proportional to 102,577.50 and 162,290.25

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Solution

The third proportional to 102,577.50 and 162,290.25 is: 256,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,577.50 : 162,290.25 = 162,290.25 : x
  2. Step 2: Convert to fraction form
    102,577.50/162,290.25 = 162,290.25/x
  3. Step 3: Cross multiply
    102,577.50x = 162,290.25 × 162,290.25
  4. Step 4: Simplify right side
    102,577.50x = 26,338,125,245.06
  5. Step 5: Solve for x
    x = 26,338,125,245.06/102,577.50
  6. Step 6: Final answer
    x = 256,763.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.