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Finding the Third Proportional to 60,319 and 88,722

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Solution

The third proportional to 60,319 and 88,722 is: 130,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,319 : 88,722 = 88,722 : x
  2. Step 2: Convert to fraction form
    60,319/88,722 = 88,722/x
  3. Step 3: Cross multiply
    60,319x = 88,722 × 88,722
  4. Step 4: Simplify right side
    60,319x = 7,871,593,284
  5. Step 5: Solve for x
    x = 7,871,593,284/60,319
  6. Step 6: Final answer
    x = 130,499.40

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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.