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Finding the Third Proportional to 65,349.75 and 97,764

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Solution

The third proportional to 65,349.75 and 97,764 is: 146,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349.75 : 97,764 = 97,764 : x
  2. Step 2: Convert to fraction form
    65,349.75/97,764 = 97,764/x
  3. Step 3: Cross multiply
    65,349.75x = 97,764 × 97,764
  4. Step 4: Simplify right side
    65,349.75x = 9,557,799,696
  5. Step 5: Solve for x
    x = 9,557,799,696/65,349.75
  6. Step 6: Final answer
    x = 146,256.10

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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.