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Finding the Third Proportional to 63,878.25 and 134,377.50

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Solution

The third proportional to 63,878.25 and 134,377.50 is: 282,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,878.25 : 134,377.50 = 134,377.50 : x
  2. Step 2: Convert to fraction form
    63,878.25/134,377.50 = 134,377.50/x
  3. Step 3: Cross multiply
    63,878.25x = 134,377.50 × 134,377.50
  4. Step 4: Simplify right side
    63,878.25x = 18,057,312,506.25
  5. Step 5: Solve for x
    x = 18,057,312,506.25/63,878.25
  6. Step 6: Final answer
    x = 282,683.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.