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Finding the Third Proportional to 125,303.63 and 262,909.13

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Solution

The third proportional to 125,303.63 and 262,909.13 is: 551,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,303.63 : 262,909.13 = 262,909.13 : x
  2. Step 2: Convert to fraction form
    125,303.63/262,909.13 = 262,909.13/x
  3. Step 3: Cross multiply
    125,303.63x = 262,909.13 × 262,909.13
  4. Step 4: Simplify right side
    125,303.63x = 69,121,208,008.27
  5. Step 5: Solve for x
    x = 69,121,208,008.27/125,303.63
  6. Step 6: Final answer
    x = 551,629.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.