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Finding the Third Proportional to 88,894 and 137,607

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Solution

The third proportional to 88,894 and 137,607 is: 213,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,894 : 137,607 = 137,607 : x
  2. Step 2: Convert to fraction form
    88,894/137,607 = 137,607/x
  3. Step 3: Cross multiply
    88,894x = 137,607 × 137,607
  4. Step 4: Simplify right side
    88,894x = 18,935,686,449
  5. Step 5: Solve for x
    x = 18,935,686,449/88,894
  6. Step 6: Final answer
    x = 213,014.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.