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Finding the Third Proportional to 66,818 and 102,746.50

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Solution

The third proportional to 66,818 and 102,746.50 is: 157,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,818 : 102,746.50 = 102,746.50 : x
  2. Step 2: Convert to fraction form
    66,818/102,746.50 = 102,746.50/x
  3. Step 3: Cross multiply
    66,818x = 102,746.50 × 102,746.50
  4. Step 4: Simplify right side
    66,818x = 10,556,843,262.25
  5. Step 5: Solve for x
    x = 10,556,843,262.25/66,818
  6. Step 6: Final answer
    x = 157,994.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.