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Finding the Third Proportional to 76,264.75 and 115,952

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Solution

The third proportional to 76,264.75 and 115,952 is: 176,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,264.75 : 115,952 = 115,952 : x
  2. Step 2: Convert to fraction form
    76,264.75/115,952 = 115,952/x
  3. Step 3: Cross multiply
    76,264.75x = 115,952 × 115,952
  4. Step 4: Simplify right side
    76,264.75x = 13,444,866,304
  5. Step 5: Solve for x
    x = 13,444,866,304/76,264.75
  6. Step 6: Final answer
    x = 176,292.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.