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Finding the Third Proportional to 60,972 and 93,888

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Solution

The third proportional to 60,972 and 93,888 is: 144,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,972 : 93,888 = 93,888 : x
  2. Step 2: Convert to fraction form
    60,972/93,888 = 93,888/x
  3. Step 3: Cross multiply
    60,972x = 93,888 × 93,888
  4. Step 4: Simplify right side
    60,972x = 8,814,956,544
  5. Step 5: Solve for x
    x = 8,814,956,544/60,972
  6. Step 6: Final answer
    x = 144,573.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.