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Finding the Third Proportional to 58,854 and 88,831

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Solution

The third proportional to 58,854 and 88,831 is: 134,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,854 : 88,831 = 88,831 : x
  2. Step 2: Convert to fraction form
    58,854/88,831 = 88,831/x
  3. Step 3: Cross multiply
    58,854x = 88,831 × 88,831
  4. Step 4: Simplify right side
    58,854x = 7,890,946,561
  5. Step 5: Solve for x
    x = 7,890,946,561/58,854
  6. Step 6: Final answer
    x = 134,076.64

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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.