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Finding the Third Proportional to 75,878.65 and 163,914.89

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Solution

The third proportional to 75,878.65 and 163,914.89 is: 354,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.65 : 163,914.89 = 163,914.89 : x
  2. Step 2: Convert to fraction form
    75,878.65/163,914.89 = 163,914.89/x
  3. Step 3: Cross multiply
    75,878.65x = 163,914.89 × 163,914.89
  4. Step 4: Simplify right side
    75,878.65x = 26,868,091,368.61
  5. Step 5: Solve for x
    x = 26,868,091,368.61/75,878.65
  6. Step 6: Final answer
    x = 354,092.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.