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Finding the Third Proportional to 60,356 and 93,985

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Solution

The third proportional to 60,356 and 93,985 is: 146,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,356 : 93,985 = 93,985 : x
  2. Step 2: Convert to fraction form
    60,356/93,985 = 93,985/x
  3. Step 3: Cross multiply
    60,356x = 93,985 × 93,985
  4. Step 4: Simplify right side
    60,356x = 8,833,180,225
  5. Step 5: Solve for x
    x = 8,833,180,225/60,356
  6. Step 6: Final answer
    x = 146,351.32

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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.