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Finding the Third Proportional to 59,026 and 88,347

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Solution

The third proportional to 59,026 and 88,347 is: 132,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,026 : 88,347 = 88,347 : x
  2. Step 2: Convert to fraction form
    59,026/88,347 = 88,347/x
  3. Step 3: Cross multiply
    59,026x = 88,347 × 88,347
  4. Step 4: Simplify right side
    59,026x = 7,805,192,409
  5. Step 5: Solve for x
    x = 7,805,192,409/59,026
  6. Step 6: Final answer
    x = 132,233.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.