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Finding the Third Proportional to 42,749 and 93,363

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Solution

The third proportional to 42,749 and 93,363 is: 203,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,749 : 93,363 = 93,363 : x
  2. Step 2: Convert to fraction form
    42,749/93,363 = 93,363/x
  3. Step 3: Cross multiply
    42,749x = 93,363 × 93,363
  4. Step 4: Simplify right side
    42,749x = 8,716,649,769
  5. Step 5: Solve for x
    x = 8,716,649,769/42,749
  6. Step 6: Final answer
    x = 203,903.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.