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Finding the Third Proportional to 88,588 and 119,347

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Solution

The third proportional to 88,588 and 119,347 is: 160,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,588 : 119,347 = 119,347 : x
  2. Step 2: Convert to fraction form
    88,588/119,347 = 119,347/x
  3. Step 3: Cross multiply
    88,588x = 119,347 × 119,347
  4. Step 4: Simplify right side
    88,588x = 14,243,706,409
  5. Step 5: Solve for x
    x = 14,243,706,409/88,588
  6. Step 6: Final answer
    x = 160,785.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.