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Finding the Third Proportional to 119,830 and 186,953

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Solution

The third proportional to 119,830 and 186,953 is: 291,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,830 : 186,953 = 186,953 : x
  2. Step 2: Convert to fraction form
    119,830/186,953 = 186,953/x
  3. Step 3: Cross multiply
    119,830x = 186,953 × 186,953
  4. Step 4: Simplify right side
    119,830x = 34,951,424,209
  5. Step 5: Solve for x
    x = 34,951,424,209/119,830
  6. Step 6: Final answer
    x = 291,675.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.