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Finding the Third Proportional to 70,560 and 93,312

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Solution

The third proportional to 70,560 and 93,312 is: 123,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,560 : 93,312 = 93,312 : x
  2. Step 2: Convert to fraction form
    70,560/93,312 = 93,312/x
  3. Step 3: Cross multiply
    70,560x = 93,312 × 93,312
  4. Step 4: Simplify right side
    70,560x = 8,707,129,344
  5. Step 5: Solve for x
    x = 8,707,129,344/70,560
  6. Step 6: Final answer
    x = 123,400.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.