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Finding the Third Proportional to 52,011.50 and 112,319

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Solution

The third proportional to 52,011.50 and 112,319 is: 242,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011.50 : 112,319 = 112,319 : x
  2. Step 2: Convert to fraction form
    52,011.50/112,319 = 112,319/x
  3. Step 3: Cross multiply
    52,011.50x = 112,319 × 112,319
  4. Step 4: Simplify right side
    52,011.50x = 12,615,557,761
  5. Step 5: Solve for x
    x = 12,615,557,761/52,011.50
  6. Step 6: Final answer
    x = 242,553.24

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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.