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Finding the Third Proportional to 123,058.13 and 189,838.13

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Solution

The third proportional to 123,058.13 and 189,838.13 is: 292,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,058.13 : 189,838.13 = 189,838.13 : x
  2. Step 2: Convert to fraction form
    123,058.13/189,838.13 = 189,838.13/x
  3. Step 3: Cross multiply
    123,058.13x = 189,838.13 × 189,838.13
  4. Step 4: Simplify right side
    123,058.13x = 36,038,513,703.52
  5. Step 5: Solve for x
    x = 36,038,513,703.52/123,058.13
  6. Step 6: Final answer
    x = 292,857.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.