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Finding the Third Proportional to 88,894 and 129,830

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Solution

The third proportional to 88,894 and 129,830 is: 189,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,894 : 129,830 = 129,830 : x
  2. Step 2: Convert to fraction form
    88,894/129,830 = 129,830/x
  3. Step 3: Cross multiply
    88,894x = 129,830 × 129,830
  4. Step 4: Simplify right side
    88,894x = 16,855,828,900
  5. Step 5: Solve for x
    x = 16,855,828,900/88,894
  6. Step 6: Final answer
    x = 189,617.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.