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Finding the Third Proportional to 65,545 and 98,641

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Solution

The third proportional to 65,545 and 98,641 is: 148,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,545 : 98,641 = 98,641 : x
  2. Step 2: Convert to fraction form
    65,545/98,641 = 98,641/x
  3. Step 3: Cross multiply
    65,545x = 98,641 × 98,641
  4. Step 4: Simplify right side
    65,545x = 9,730,046,881
  5. Step 5: Solve for x
    x = 9,730,046,881/65,545
  6. Step 6: Final answer
    x = 148,448.35

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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.