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Finding the Third Proportional to 45,776 and 96,473

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Solution

The third proportional to 45,776 and 96,473 is: 203,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,776 : 96,473 = 96,473 : x
  2. Step 2: Convert to fraction form
    45,776/96,473 = 96,473/x
  3. Step 3: Cross multiply
    45,776x = 96,473 × 96,473
  4. Step 4: Simplify right side
    45,776x = 9,307,039,729
  5. Step 5: Solve for x
    x = 9,307,039,729/45,776
  6. Step 6: Final answer
    x = 203,317.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.