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Finding the Third Proportional to 58,966 and 91,307

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Solution

The third proportional to 58,966 and 91,307 is: 141,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,966 : 91,307 = 91,307 : x
  2. Step 2: Convert to fraction form
    58,966/91,307 = 91,307/x
  3. Step 3: Cross multiply
    58,966x = 91,307 × 91,307
  4. Step 4: Simplify right side
    58,966x = 8,336,968,249
  5. Step 5: Solve for x
    x = 8,336,968,249/58,966
  6. Step 6: Final answer
    x = 141,386.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.