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Finding the Third Proportional to 45,248 and 97,508

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Solution

The third proportional to 45,248 and 97,508 is: 210,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,248 : 97,508 = 97,508 : x
  2. Step 2: Convert to fraction form
    45,248/97,508 = 97,508/x
  3. Step 3: Cross multiply
    45,248x = 97,508 × 97,508
  4. Step 4: Simplify right side
    45,248x = 9,507,810,064
  5. Step 5: Solve for x
    x = 9,507,810,064/45,248
  6. Step 6: Final answer
    x = 210,126.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.