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Finding the Third Proportional to 65,866.50 and 97,332.75

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Solution

The third proportional to 65,866.50 and 97,332.75 is: 143,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,866.50 : 97,332.75 = 97,332.75 : x
  2. Step 2: Convert to fraction form
    65,866.50/97,332.75 = 97,332.75/x
  3. Step 3: Cross multiply
    65,866.50x = 97,332.75 × 97,332.75
  4. Step 4: Simplify right side
    65,866.50x = 9,473,664,222.56
  5. Step 5: Solve for x
    x = 9,473,664,222.56/65,866.50
  6. Step 6: Final answer
    x = 143,831.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.