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Finding the Third Proportional to 65,348 and 97,760

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Solution

The third proportional to 65,348 and 97,760 is: 146,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348 : 97,760 = 97,760 : x
  2. Step 2: Convert to fraction form
    65,348/97,760 = 97,760/x
  3. Step 3: Cross multiply
    65,348x = 97,760 × 97,760
  4. Step 4: Simplify right side
    65,348x = 9,557,017,600
  5. Step 5: Solve for x
    x = 9,557,017,600/65,348
  6. Step 6: Final answer
    x = 146,248.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.