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Finding the Third Proportional to 94,971 and 207,587

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Solution

The third proportional to 94,971 and 207,587 is: 453,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,971 : 207,587 = 207,587 : x
  2. Step 2: Convert to fraction form
    94,971/207,587 = 207,587/x
  3. Step 3: Cross multiply
    94,971x = 207,587 × 207,587
  4. Step 4: Simplify right side
    94,971x = 43,092,362,569
  5. Step 5: Solve for x
    x = 43,092,362,569/94,971
  6. Step 6: Final answer
    x = 453,742.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.