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Finding the Third Proportional to 61,603.50 and 144,045

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Solution

The third proportional to 61,603.50 and 144,045 is: 336,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,603.50 : 144,045 = 144,045 : x
  2. Step 2: Convert to fraction form
    61,603.50/144,045 = 144,045/x
  3. Step 3: Cross multiply
    61,603.50x = 144,045 × 144,045
  4. Step 4: Simplify right side
    61,603.50x = 20,748,962,025
  5. Step 5: Solve for x
    x = 20,748,962,025/61,603.50
  6. Step 6: Final answer
    x = 336,814.66

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.