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Finding the Third Proportional to 56,929.50 and 121,741.25

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Solution

The third proportional to 56,929.50 and 121,741.25 is: 260,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,929.50 : 121,741.25 = 121,741.25 : x
  2. Step 2: Convert to fraction form
    56,929.50/121,741.25 = 121,741.25/x
  3. Step 3: Cross multiply
    56,929.50x = 121,741.25 × 121,741.25
  4. Step 4: Simplify right side
    56,929.50x = 14,820,931,951.56
  5. Step 5: Solve for x
    x = 14,820,931,951.56/56,929.50
  6. Step 6: Final answer
    x = 260,338.35

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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.