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Finding the Third Proportional to 53,952.75 and 81,681.75

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Solution

The third proportional to 53,952.75 and 81,681.75 is: 123,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952.75 : 81,681.75 = 81,681.75 : x
  2. Step 2: Convert to fraction form
    53,952.75/81,681.75 = 81,681.75/x
  3. Step 3: Cross multiply
    53,952.75x = 81,681.75 × 81,681.75
  4. Step 4: Simplify right side
    53,952.75x = 6,671,908,283.06
  5. Step 5: Solve for x
    x = 6,671,908,283.06/53,952.75
  6. Step 6: Final answer
    x = 123,662.06

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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.