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Finding the Third Proportional to 75,026.25 and 163,993.50

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Solution

The third proportional to 75,026.25 and 163,993.50 is: 358,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,026.25 : 163,993.50 = 163,993.50 : x
  2. Step 2: Convert to fraction form
    75,026.25/163,993.50 = 163,993.50/x
  3. Step 3: Cross multiply
    75,026.25x = 163,993.50 × 163,993.50
  4. Step 4: Simplify right side
    75,026.25x = 26,893,868,042.25
  5. Step 5: Solve for x
    x = 26,893,868,042.25/75,026.25
  6. Step 6: Final answer
    x = 358,459.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.