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Finding the Third Proportional to 70,533 and 95,684.63

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Solution

The third proportional to 70,533 and 95,684.63 is: 129,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,533 : 95,684.63 = 95,684.63 : x
  2. Step 2: Convert to fraction form
    70,533/95,684.63 = 95,684.63/x
  3. Step 3: Cross multiply
    70,533x = 95,684.63 × 95,684.63
  4. Step 4: Simplify right side
    70,533x = 9,155,547,461.39
  5. Step 5: Solve for x
    x = 9,155,547,461.39/70,533
  6. Step 6: Final answer
    x = 129,805.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.