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Finding the Third Proportional to 52,488 and 112,063.50

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Solution

The third proportional to 52,488 and 112,063.50 is: 239,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,488 : 112,063.50 = 112,063.50 : x
  2. Step 2: Convert to fraction form
    52,488/112,063.50 = 112,063.50/x
  3. Step 3: Cross multiply
    52,488x = 112,063.50 × 112,063.50
  4. Step 4: Simplify right side
    52,488x = 12,558,228,032.25
  5. Step 5: Solve for x
    x = 12,558,228,032.25/52,488
  6. Step 6: Final answer
    x = 239,259.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.