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Finding the Third Proportional to 31,089 and 67,091

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Solution

The third proportional to 31,089 and 67,091 is: 144,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089 : 67,091 = 67,091 : x
  2. Step 2: Convert to fraction form
    31,089/67,091 = 67,091/x
  3. Step 3: Cross multiply
    31,089x = 67,091 × 67,091
  4. Step 4: Simplify right side
    31,089x = 4,501,202,281
  5. Step 5: Solve for x
    x = 4,501,202,281/31,089
  6. Step 6: Final answer
    x = 144,784.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.