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Finding the Third Proportional to 59,100 and 129,681.75

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Solution

The third proportional to 59,100 and 129,681.75 is: 284,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,100 : 129,681.75 = 129,681.75 : x
  2. Step 2: Convert to fraction form
    59,100/129,681.75 = 129,681.75/x
  3. Step 3: Cross multiply
    59,100x = 129,681.75 × 129,681.75
  4. Step 4: Simplify right side
    59,100x = 16,817,356,283.06
  5. Step 5: Solve for x
    x = 16,817,356,283.06/59,100
  6. Step 6: Final answer
    x = 284,557.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.