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Finding the Third Proportional to 60,319 and 88,723

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Solution

The third proportional to 60,319 and 88,723 is: 130,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,319 : 88,723 = 88,723 : x
  2. Step 2: Convert to fraction form
    60,319/88,723 = 88,723/x
  3. Step 3: Cross multiply
    60,319x = 88,723 × 88,723
  4. Step 4: Simplify right side
    60,319x = 7,871,770,729
  5. Step 5: Solve for x
    x = 7,871,770,729/60,319
  6. Step 6: Final answer
    x = 130,502.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.