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Finding the Third Proportional to 89,817 and 149,687

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Solution

The third proportional to 89,817 and 149,687 is: 249,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,817 : 149,687 = 149,687 : x
  2. Step 2: Convert to fraction form
    89,817/149,687 = 149,687/x
  3. Step 3: Cross multiply
    89,817x = 149,687 × 149,687
  4. Step 4: Simplify right side
    89,817x = 22,406,197,969
  5. Step 5: Solve for x
    x = 22,406,197,969/89,817
  6. Step 6: Final answer
    x = 249,465.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.