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Finding the Third Proportional to 125,073 and 266,548.50

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Solution

The third proportional to 125,073 and 266,548.50 is: 568,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,073 : 266,548.50 = 266,548.50 : x
  2. Step 2: Convert to fraction form
    125,073/266,548.50 = 266,548.50/x
  3. Step 3: Cross multiply
    125,073x = 266,548.50 × 266,548.50
  4. Step 4: Simplify right side
    125,073x = 71,048,102,852.25
  5. Step 5: Solve for x
    x = 71,048,102,852.25/125,073
  6. Step 6: Final answer
    x = 568,053.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.