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Finding the Third Proportional to 58,720 and 88,352

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Solution

The third proportional to 58,720 and 88,352 is: 132,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,720 : 88,352 = 88,352 : x
  2. Step 2: Convert to fraction form
    58,720/88,352 = 88,352/x
  3. Step 3: Cross multiply
    58,720x = 88,352 × 88,352
  4. Step 4: Simplify right side
    58,720x = 7,806,075,904
  5. Step 5: Solve for x
    x = 7,806,075,904/58,720
  6. Step 6: Final answer
    x = 132,937.26

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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.