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Finding the Third Proportional to 77,637 and 117,063

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Solution

The third proportional to 77,637 and 117,063 is: 176,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,637 : 117,063 = 117,063 : x
  2. Step 2: Convert to fraction form
    77,637/117,063 = 117,063/x
  3. Step 3: Cross multiply
    77,637x = 117,063 × 117,063
  4. Step 4: Simplify right side
    77,637x = 13,703,745,969
  5. Step 5: Solve for x
    x = 13,703,745,969/77,637
  6. Step 6: Final answer
    x = 176,510.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.