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Finding the Third Proportional to 70,064 and 151,248

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Solution

The third proportional to 70,064 and 151,248 is: 326,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,064 : 151,248 = 151,248 : x
  2. Step 2: Convert to fraction form
    70,064/151,248 = 151,248/x
  3. Step 3: Cross multiply
    70,064x = 151,248 × 151,248
  4. Step 4: Simplify right side
    70,064x = 22,875,957,504
  5. Step 5: Solve for x
    x = 22,875,957,504/70,064
  6. Step 6: Final answer
    x = 326,500.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.