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Finding the Third Proportional to 37,127 and 77,899

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Solution

The third proportional to 37,127 and 77,899 is: 163,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,127 : 77,899 = 77,899 : x
  2. Step 2: Convert to fraction form
    37,127/77,899 = 77,899/x
  3. Step 3: Cross multiply
    37,127x = 77,899 × 77,899
  4. Step 4: Simplify right side
    37,127x = 6,068,254,201
  5. Step 5: Solve for x
    x = 6,068,254,201/37,127
  6. Step 6: Final answer
    x = 163,445.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.