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Finding the Third Proportional to 98,427 and 145,565

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Solution

The third proportional to 98,427 and 145,565 is: 215,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,427 : 145,565 = 145,565 : x
  2. Step 2: Convert to fraction form
    98,427/145,565 = 145,565/x
  3. Step 3: Cross multiply
    98,427x = 145,565 × 145,565
  4. Step 4: Simplify right side
    98,427x = 21,189,169,225
  5. Step 5: Solve for x
    x = 21,189,169,225/98,427
  6. Step 6: Final answer
    x = 215,278.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.