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Finding the Third Proportional to 56,306.25 and 122,347.50

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Solution

The third proportional to 56,306.25 and 122,347.50 is: 265,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,306.25 : 122,347.50 = 122,347.50 : x
  2. Step 2: Convert to fraction form
    56,306.25/122,347.50 = 122,347.50/x
  3. Step 3: Cross multiply
    56,306.25x = 122,347.50 × 122,347.50
  4. Step 4: Simplify right side
    56,306.25x = 14,968,910,756.25
  5. Step 5: Solve for x
    x = 14,968,910,756.25/56,306.25
  6. Step 6: Final answer
    x = 265,848.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.