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Finding the Third Proportional to 61,603 and 131,953

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Solution

The third proportional to 61,603 and 131,953 is: 282,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,603 : 131,953 = 131,953 : x
  2. Step 2: Convert to fraction form
    61,603/131,953 = 131,953/x
  3. Step 3: Cross multiply
    61,603x = 131,953 × 131,953
  4. Step 4: Simplify right side
    61,603x = 17,411,594,209
  5. Step 5: Solve for x
    x = 17,411,594,209/61,603
  6. Step 6: Final answer
    x = 282,641.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.