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Finding the Third Proportional to 98,373.50 and 148,730

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Solution

The third proportional to 98,373.50 and 148,730 is: 224,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,373.50 : 148,730 = 148,730 : x
  2. Step 2: Convert to fraction form
    98,373.50/148,730 = 148,730/x
  3. Step 3: Cross multiply
    98,373.50x = 148,730 × 148,730
  4. Step 4: Simplify right side
    98,373.50x = 22,120,612,900
  5. Step 5: Solve for x
    x = 22,120,612,900/98,373.50
  6. Step 6: Final answer
    x = 224,863.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.