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Finding the Third Proportional to 65,478.75 and 101,424.19

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Solution

The third proportional to 65,478.75 and 101,424.19 is: 157,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,478.75 : 101,424.19 = 101,424.19 : x
  2. Step 2: Convert to fraction form
    65,478.75/101,424.19 = 101,424.19/x
  3. Step 3: Cross multiply
    65,478.75x = 101,424.19 × 101,424.19
  4. Step 4: Simplify right side
    65,478.75x = 10,286,865,810.04
  5. Step 5: Solve for x
    x = 10,286,865,810.04/65,478.75
  6. Step 6: Final answer
    x = 157,102.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.