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Finding the Third Proportional to 45,783 and 97,479

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Solution

The third proportional to 45,783 and 97,479 is: 207,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,783 : 97,479 = 97,479 : x
  2. Step 2: Convert to fraction form
    45,783/97,479 = 97,479/x
  3. Step 3: Cross multiply
    45,783x = 97,479 × 97,479
  4. Step 4: Simplify right side
    45,783x = 9,502,155,441
  5. Step 5: Solve for x
    x = 9,502,155,441/45,783
  6. Step 6: Final answer
    x = 207,547.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.