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Finding the Third Proportional to 58,881 and 90,967.88

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Solution

The third proportional to 58,881 and 90,967.88 is: 140,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,881 : 90,967.88 = 90,967.88 : x
  2. Step 2: Convert to fraction form
    58,881/90,967.88 = 90,967.88/x
  3. Step 3: Cross multiply
    58,881x = 90,967.88 × 90,967.88
  4. Step 4: Simplify right side
    58,881x = 8,275,154,282.02
  5. Step 5: Solve for x
    x = 8,275,154,282.02/58,881
  6. Step 6: Final answer
    x = 140,540.31

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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.