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Finding the Third Proportional to 65,334 and 97,746

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Solution

The third proportional to 65,334 and 97,746 is: 146,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,334 : 97,746 = 97,746 : x
  2. Step 2: Convert to fraction form
    65,334/97,746 = 97,746/x
  3. Step 3: Cross multiply
    65,334x = 97,746 × 97,746
  4. Step 4: Simplify right side
    65,334x = 9,554,280,516
  5. Step 5: Solve for x
    x = 9,554,280,516/65,334
  6. Step 6: Final answer
    x = 146,237.50

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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.