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Finding the Third Proportional to 125,064 and 266,530.50

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Solution

The third proportional to 125,064 and 266,530.50 is: 568,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,064 : 266,530.50 = 266,530.50 : x
  2. Step 2: Convert to fraction form
    125,064/266,530.50 = 266,530.50/x
  3. Step 3: Cross multiply
    125,064x = 266,530.50 × 266,530.50
  4. Step 4: Simplify right side
    125,064x = 71,038,507,430.25
  5. Step 5: Solve for x
    x = 71,038,507,430.25/125,064
  6. Step 6: Final answer
    x = 568,017.23

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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.