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Finding the Third Proportional to 125,810 and 193,083

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Solution

The third proportional to 125,810 and 193,083 is: 296,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,810 : 193,083 = 193,083 : x
  2. Step 2: Convert to fraction form
    125,810/193,083 = 193,083/x
  3. Step 3: Cross multiply
    125,810x = 193,083 × 193,083
  4. Step 4: Simplify right side
    125,810x = 37,281,044,889
  5. Step 5: Solve for x
    x = 37,281,044,889/125,810
  6. Step 6: Final answer
    x = 296,328.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.