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Finding the Third Proportional to 58,658 and 88,270

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Solution

The third proportional to 58,658 and 88,270 is: 132,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,658 : 88,270 = 88,270 : x
  2. Step 2: Convert to fraction form
    58,658/88,270 = 88,270/x
  3. Step 3: Cross multiply
    58,658x = 88,270 × 88,270
  4. Step 4: Simplify right side
    58,658x = 7,791,592,900
  5. Step 5: Solve for x
    x = 7,791,592,900/58,658
  6. Step 6: Final answer
    x = 132,830.87

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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.