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Finding the Third Proportional to 125,064 and 194,005.13

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Solution

The third proportional to 125,064 and 194,005.13 is: 300,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,064 : 194,005.13 = 194,005.13 : x
  2. Step 2: Convert to fraction form
    125,064/194,005.13 = 194,005.13/x
  3. Step 3: Cross multiply
    125,064x = 194,005.13 × 194,005.13
  4. Step 4: Simplify right side
    125,064x = 37,637,988,526.27
  5. Step 5: Solve for x
    x = 37,637,988,526.27/125,064
  6. Step 6: Final answer
    x = 300,949.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.