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Finding the Third Proportional to 89,894 and 129,488

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Solution

The third proportional to 89,894 and 129,488 is: 186,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,894 : 129,488 = 129,488 : x
  2. Step 2: Convert to fraction form
    89,894/129,488 = 129,488/x
  3. Step 3: Cross multiply
    89,894x = 129,488 × 129,488
  4. Step 4: Simplify right side
    89,894x = 16,767,142,144
  5. Step 5: Solve for x
    x = 16,767,142,144/89,894
  6. Step 6: Final answer
    x = 186,521.26

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.