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Finding the Third Proportional to 59,714 and 93,202

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Solution

The third proportional to 59,714 and 93,202 is: 145,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,714 : 93,202 = 93,202 : x
  2. Step 2: Convert to fraction form
    59,714/93,202 = 93,202/x
  3. Step 3: Cross multiply
    59,714x = 93,202 × 93,202
  4. Step 4: Simplify right side
    59,714x = 8,686,612,804
  5. Step 5: Solve for x
    x = 8,686,612,804/59,714
  6. Step 6: Final answer
    x = 145,470.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.