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Finding the Third Proportional to 48,712 and 65,139

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Solution

The third proportional to 48,712 and 65,139 is: 87,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,712 : 65,139 = 65,139 : x
  2. Step 2: Convert to fraction form
    48,712/65,139 = 65,139/x
  3. Step 3: Cross multiply
    48,712x = 65,139 × 65,139
  4. Step 4: Simplify right side
    48,712x = 4,243,089,321
  5. Step 5: Solve for x
    x = 4,243,089,321/48,712
  6. Step 6: Final answer
    x = 87,105.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.