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Finding the Third Proportional to 77,117 and 116,648

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Solution

The third proportional to 77,117 and 116,648 is: 176,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,117 : 116,648 = 116,648 : x
  2. Step 2: Convert to fraction form
    77,117/116,648 = 116,648/x
  3. Step 3: Cross multiply
    77,117x = 116,648 × 116,648
  4. Step 4: Simplify right side
    77,117x = 13,606,755,904
  5. Step 5: Solve for x
    x = 13,606,755,904/77,117
  6. Step 6: Final answer
    x = 176,443.01

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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.