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Finding the Third Proportional to 84,643.75 and 112,362.75

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Solution

The third proportional to 84,643.75 and 112,362.75 is: 149,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,643.75 : 112,362.75 = 112,362.75 : x
  2. Step 2: Convert to fraction form
    84,643.75/112,362.75 = 112,362.75/x
  3. Step 3: Cross multiply
    84,643.75x = 112,362.75 × 112,362.75
  4. Step 4: Simplify right side
    84,643.75x = 12,625,387,587.56
  5. Step 5: Solve for x
    x = 12,625,387,587.56/84,643.75
  6. Step 6: Final answer
    x = 149,159.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.