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Finding the Third Proportional to 42,470 and 89,070

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Solution

The third proportional to 42,470 and 89,070 is: 186,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,470 : 89,070 = 89,070 : x
  2. Step 2: Convert to fraction form
    42,470/89,070 = 89,070/x
  3. Step 3: Cross multiply
    42,470x = 89,070 × 89,070
  4. Step 4: Simplify right side
    42,470x = 7,933,464,900
  5. Step 5: Solve for x
    x = 7,933,464,900/42,470
  6. Step 6: Final answer
    x = 186,801.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.