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Finding the Third Proportional to 84,897.25 and 114,890

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Solution

The third proportional to 84,897.25 and 114,890 is: 155,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,897.25 : 114,890 = 114,890 : x
  2. Step 2: Convert to fraction form
    84,897.25/114,890 = 114,890/x
  3. Step 3: Cross multiply
    84,897.25x = 114,890 × 114,890
  4. Step 4: Simplify right side
    84,897.25x = 13,199,712,100
  5. Step 5: Solve for x
    x = 13,199,712,100/84,897.25
  6. Step 6: Final answer
    x = 155,478.68

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