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Finding the Third Proportional to 77,127.75 and 116,511

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Solution

The third proportional to 77,127.75 and 116,511 is: 176,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,127.75 : 116,511 = 116,511 : x
  2. Step 2: Convert to fraction form
    77,127.75/116,511 = 116,511/x
  3. Step 3: Cross multiply
    77,127.75x = 116,511 × 116,511
  4. Step 4: Simplify right side
    77,127.75x = 13,574,813,121
  5. Step 5: Solve for x
    x = 13,574,813,121/77,127.75
  6. Step 6: Final answer
    x = 176,004.27

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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.