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Finding the Third Proportional to 60,784 and 96,168

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Solution

The third proportional to 60,784 and 96,168 is: 152,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,784 : 96,168 = 96,168 : x
  2. Step 2: Convert to fraction form
    60,784/96,168 = 96,168/x
  3. Step 3: Cross multiply
    60,784x = 96,168 × 96,168
  4. Step 4: Simplify right side
    60,784x = 9,248,284,224
  5. Step 5: Solve for x
    x = 9,248,284,224/60,784
  6. Step 6: Final answer
    x = 152,149.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.