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Finding the Third Proportional to 121,472 and 265,050

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Solution

The third proportional to 121,472 and 265,050 is: 578,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,472 : 265,050 = 265,050 : x
  2. Step 2: Convert to fraction form
    121,472/265,050 = 265,050/x
  3. Step 3: Cross multiply
    121,472x = 265,050 × 265,050
  4. Step 4: Simplify right side
    121,472x = 70,251,502,500
  5. Step 5: Solve for x
    x = 70,251,502,500/121,472
  6. Step 6: Final answer
    x = 578,334.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.