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Finding the Third Proportional to 84,510.84 and 130,681.56

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Solution

The third proportional to 84,510.84 and 130,681.56 is: 202,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,510.84 : 130,681.56 = 130,681.56 : x
  2. Step 2: Convert to fraction form
    84,510.84/130,681.56 = 130,681.56/x
  3. Step 3: Cross multiply
    84,510.84x = 130,681.56 × 130,681.56
  4. Step 4: Simplify right side
    84,510.84x = 17,077,668,990.78
  5. Step 5: Solve for x
    x = 17,077,668,990.78/84,510.84
  6. Step 6: Final answer
    x = 202,076.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.