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Finding the Third Proportional to 57,496 and 88,816

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Solution

The third proportional to 57,496 and 88,816 is: 137,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,496 : 88,816 = 88,816 : x
  2. Step 2: Convert to fraction form
    57,496/88,816 = 88,816/x
  3. Step 3: Cross multiply
    57,496x = 88,816 × 88,816
  4. Step 4: Simplify right side
    57,496x = 7,888,281,856
  5. Step 5: Solve for x
    x = 7,888,281,856/57,496
  6. Step 6: Final answer
    x = 137,197.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.