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Finding the Third Proportional to 62,460 and 99,900

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Solution

The third proportional to 62,460 and 99,900 is: 159,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,460 : 99,900 = 99,900 : x
  2. Step 2: Convert to fraction form
    62,460/99,900 = 99,900/x
  3. Step 3: Cross multiply
    62,460x = 99,900 × 99,900
  4. Step 4: Simplify right side
    62,460x = 9,980,010,000
  5. Step 5: Solve for x
    x = 9,980,010,000/62,460
  6. Step 6: Final answer
    x = 159,782.42

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.