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Finding the Third Proportional to 127,058 and 187,066

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Solution

The third proportional to 127,058 and 187,066 is: 275,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,058 : 187,066 = 187,066 : x
  2. Step 2: Convert to fraction form
    127,058/187,066 = 187,066/x
  3. Step 3: Cross multiply
    127,058x = 187,066 × 187,066
  4. Step 4: Simplify right side
    127,058x = 34,993,688,356
  5. Step 5: Solve for x
    x = 34,993,688,356/127,058
  6. Step 6: Final answer
    x = 275,415.07

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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.