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Finding the Third Proportional to 58,462 and 88,113

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Solution

The third proportional to 58,462 and 88,113 is: 132,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,462 : 88,113 = 88,113 : x
  2. Step 2: Convert to fraction form
    58,462/88,113 = 88,113/x
  3. Step 3: Cross multiply
    58,462x = 88,113 × 88,113
  4. Step 4: Simplify right side
    58,462x = 7,763,900,769
  5. Step 5: Solve for x
    x = 7,763,900,769/58,462
  6. Step 6: Final answer
    x = 132,802.52

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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.