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Finding the Third Proportional to 64,610 and 94,359

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Solution

The third proportional to 64,610 and 94,359 is: 137,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,610 : 94,359 = 94,359 : x
  2. Step 2: Convert to fraction form
    64,610/94,359 = 94,359/x
  3. Step 3: Cross multiply
    64,610x = 94,359 × 94,359
  4. Step 4: Simplify right side
    64,610x = 8,903,620,881
  5. Step 5: Solve for x
    x = 8,903,620,881/64,610
  6. Step 6: Final answer
    x = 137,805.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.