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Finding the Third Proportional to 58,712 and 90,948

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Solution

The third proportional to 58,712 and 90,948 is: 140,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,712 : 90,948 = 90,948 : x
  2. Step 2: Convert to fraction form
    58,712/90,948 = 90,948/x
  3. Step 3: Cross multiply
    58,712x = 90,948 × 90,948
  4. Step 4: Simplify right side
    58,712x = 8,271,538,704
  5. Step 5: Solve for x
    x = 8,271,538,704/58,712
  6. Step 6: Final answer
    x = 140,883.27

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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.