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Finding the Third Proportional to 125,957.53 and 266,128.03

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Solution

The third proportional to 125,957.53 and 266,128.03 is: 562,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,957.53 : 266,128.03 = 266,128.03 : x
  2. Step 2: Convert to fraction form
    125,957.53/266,128.03 = 266,128.03/x
  3. Step 3: Cross multiply
    125,957.53x = 266,128.03 × 266,128.03
  4. Step 4: Simplify right side
    125,957.53x = 70,824,129,017.00
  5. Step 5: Solve for x
    x = 70,824,129,017.00/125,957.53
  6. Step 6: Final answer
    x = 562,285.78

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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.