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Finding the Third Proportional to 77,130.13 and 116,517.06

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Solution

The third proportional to 77,130.13 and 116,517.06 is: 176,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,130.13 : 116,517.06 = 116,517.06 : x
  2. Step 2: Convert to fraction form
    77,130.13/116,517.06 = 116,517.06/x
  3. Step 3: Cross multiply
    77,130.13x = 116,517.06 × 116,517.06
  4. Step 4: Simplify right side
    77,130.13x = 13,576,225,853.63
  5. Step 5: Solve for x
    x = 13,576,225,853.63/77,130.13
  6. Step 6: Final answer
    x = 176,017.16

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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.