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Finding the Third Proportional to 62,469 and 99,913.50

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Solution

The third proportional to 62,469 and 99,913.50 is: 159,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,469 : 99,913.50 = 99,913.50 : x
  2. Step 2: Convert to fraction form
    62,469/99,913.50 = 99,913.50/x
  3. Step 3: Cross multiply
    62,469x = 99,913.50 × 99,913.50
  4. Step 4: Simplify right side
    62,469x = 9,982,707,482.25
  5. Step 5: Solve for x
    x = 9,982,707,482.25/62,469
  6. Step 6: Final answer
    x = 159,802.58

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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.