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Finding the Third Proportional to 127,610 and 187,461

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Solution

The third proportional to 127,610 and 187,461 is: 275,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,610 : 187,461 = 187,461 : x
  2. Step 2: Convert to fraction form
    127,610/187,461 = 187,461/x
  3. Step 3: Cross multiply
    127,610x = 187,461 × 187,461
  4. Step 4: Simplify right side
    127,610x = 35,141,626,521
  5. Step 5: Solve for x
    x = 35,141,626,521/127,610
  6. Step 6: Final answer
    x = 275,383.01

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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.