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Finding the Third Proportional to 58,160 and 87,726

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Solution

The third proportional to 58,160 and 87,726 is: 132,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,160 : 87,726 = 87,726 : x
  2. Step 2: Convert to fraction form
    58,160/87,726 = 87,726/x
  3. Step 3: Cross multiply
    58,160x = 87,726 × 87,726
  4. Step 4: Simplify right side
    58,160x = 7,695,851,076
  5. Step 5: Solve for x
    x = 7,695,851,076/58,160
  6. Step 6: Final answer
    x = 132,322.06

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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.