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Finding the Third Proportional to 64,152 and 93,879

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Solution

The third proportional to 64,152 and 93,879 is: 137,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,152 : 93,879 = 93,879 : x
  2. Step 2: Convert to fraction form
    64,152/93,879 = 93,879/x
  3. Step 3: Cross multiply
    64,152x = 93,879 × 93,879
  4. Step 4: Simplify right side
    64,152x = 8,813,266,641
  5. Step 5: Solve for x
    x = 8,813,266,641/64,152
  6. Step 6: Final answer
    x = 137,381.01

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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.