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Finding the Third Proportional to 58,560 and 88,242

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Solution

The third proportional to 58,560 and 88,242 is: 132,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,560 : 88,242 = 88,242 : x
  2. Step 2: Convert to fraction form
    58,560/88,242 = 88,242/x
  3. Step 3: Cross multiply
    58,560x = 88,242 × 88,242
  4. Step 4: Simplify right side
    58,560x = 7,786,650,564
  5. Step 5: Solve for x
    x = 7,786,650,564/58,560
  6. Step 6: Final answer
    x = 132,968.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.