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Finding the Third Proportional to 58,642 and 90,840

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Solution

The third proportional to 58,642 and 90,840 is: 140,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,642 : 90,840 = 90,840 : x
  2. Step 2: Convert to fraction form
    58,642/90,840 = 90,840/x
  3. Step 3: Cross multiply
    58,642x = 90,840 × 90,840
  4. Step 4: Simplify right side
    58,642x = 8,251,905,600
  5. Step 5: Solve for x
    x = 8,251,905,600/58,642
  6. Step 6: Final answer
    x = 140,716.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.