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Finding the Third Proportional to 84,897 and 114,888.75

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Solution

The third proportional to 84,897 and 114,888.75 is: 155,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,897 : 114,888.75 = 114,888.75 : x
  2. Step 2: Convert to fraction form
    84,897/114,888.75 = 114,888.75/x
  3. Step 3: Cross multiply
    84,897x = 114,888.75 × 114,888.75
  4. Step 4: Simplify right side
    84,897x = 13,199,424,876.56
  5. Step 5: Solve for x
    x = 13,199,424,876.56/84,897
  6. Step 6: Final answer
    x = 155,475.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.