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Finding the Third Proportional to 127,035.84 and 187,045.03

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Solution

The third proportional to 127,035.84 and 187,045.03 is: 275,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,035.84 : 187,045.03 = 187,045.03 : x
  2. Step 2: Convert to fraction form
    127,035.84/187,045.03 = 187,045.03/x
  3. Step 3: Cross multiply
    127,035.84x = 187,045.03 × 187,045.03
  4. Step 4: Simplify right side
    127,035.84x = 34,985,843,715.31
  5. Step 5: Solve for x
    x = 34,985,843,715.31/127,035.84
  6. Step 6: Final answer
    x = 275,401.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.