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Finding the Third Proportional to 57,496 and 88,808

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Solution

The third proportional to 57,496 and 88,808 is: 137,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,496 : 88,808 = 88,808 : x
  2. Step 2: Convert to fraction form
    57,496/88,808 = 88,808/x
  3. Step 3: Cross multiply
    57,496x = 88,808 × 88,808
  4. Step 4: Simplify right side
    57,496x = 7,886,860,864
  5. Step 5: Solve for x
    x = 7,886,860,864/57,496
  6. Step 6: Final answer
    x = 137,172.34

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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.