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Finding the Third Proportional to 125,911.50 and 265,901.63

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Solution

The third proportional to 125,911.50 and 265,901.63 is: 561,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,911.50 : 265,901.63 = 265,901.63 : x
  2. Step 2: Convert to fraction form
    125,911.50/265,901.63 = 265,901.63/x
  3. Step 3: Cross multiply
    125,911.50x = 265,901.63 × 265,901.63
  4. Step 4: Simplify right side
    125,911.50x = 70,703,674,177.64
  5. Step 5: Solve for x
    x = 70,703,674,177.64/125,911.50
  6. Step 6: Final answer
    x = 561,534.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.