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Finding the Third Proportional to 75,316 and 163,748

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Solution

The third proportional to 75,316 and 163,748 is: 356,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,316 : 163,748 = 163,748 : x
  2. Step 2: Convert to fraction form
    75,316/163,748 = 163,748/x
  3. Step 3: Cross multiply
    75,316x = 163,748 × 163,748
  4. Step 4: Simplify right side
    75,316x = 26,813,407,504
  5. Step 5: Solve for x
    x = 26,813,407,504/75,316
  6. Step 6: Final answer
    x = 356,012.10

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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.