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Finding the Third Proportional to 98,639 and 152,562

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Solution

The third proportional to 98,639 and 152,562 is: 235,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,639 : 152,562 = 152,562 : x
  2. Step 2: Convert to fraction form
    98,639/152,562 = 152,562/x
  3. Step 3: Cross multiply
    98,639x = 152,562 × 152,562
  4. Step 4: Simplify right side
    98,639x = 23,275,163,844
  5. Step 5: Solve for x
    x = 23,275,163,844/98,639
  6. Step 6: Final answer
    x = 235,963.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.