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Finding the Third Proportional to 98,522 and 156,030

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Solution

The third proportional to 98,522 and 156,030 is: 247,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,522 : 156,030 = 156,030 : x
  2. Step 2: Convert to fraction form
    98,522/156,030 = 156,030/x
  3. Step 3: Cross multiply
    98,522x = 156,030 × 156,030
  4. Step 4: Simplify right side
    98,522x = 24,345,360,900
  5. Step 5: Solve for x
    x = 24,345,360,900/98,522
  6. Step 6: Final answer
    x = 247,105.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.