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Finding the Third Proportional to 67,312 and 145,770

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Solution

The third proportional to 67,312 and 145,770 is: 315,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,312 : 145,770 = 145,770 : x
  2. Step 2: Convert to fraction form
    67,312/145,770 = 145,770/x
  3. Step 3: Cross multiply
    67,312x = 145,770 × 145,770
  4. Step 4: Simplify right side
    67,312x = 21,248,892,900
  5. Step 5: Solve for x
    x = 21,248,892,900/67,312
  6. Step 6: Final answer
    x = 315,677.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.