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Finding the Third Proportional to 58,726 and 90,681

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Solution

The third proportional to 58,726 and 90,681 is: 140,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,726 : 90,681 = 90,681 : x
  2. Step 2: Convert to fraction form
    58,726/90,681 = 90,681/x
  3. Step 3: Cross multiply
    58,726x = 90,681 × 90,681
  4. Step 4: Simplify right side
    58,726x = 8,223,043,761
  5. Step 5: Solve for x
    x = 8,223,043,761/58,726
  6. Step 6: Final answer
    x = 140,023.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.