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Finding the Third Proportional to 60,178 and 93,599

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Solution

The third proportional to 60,178 and 93,599 is: 145,580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,178 : 93,599 = 93,599 : x
  2. Step 2: Convert to fraction form
    60,178/93,599 = 93,599/x
  3. Step 3: Cross multiply
    60,178x = 93,599 × 93,599
  4. Step 4: Simplify right side
    60,178x = 8,760,772,801
  5. Step 5: Solve for x
    x = 8,760,772,801/60,178
  6. Step 6: Final answer
    x = 145,580.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.