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Finding the Third Proportional to 92,415 and 144,943.50

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Solution

The third proportional to 92,415 and 144,943.50 is: 227,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,415 : 144,943.50 = 144,943.50 : x
  2. Step 2: Convert to fraction form
    92,415/144,943.50 = 144,943.50/x
  3. Step 3: Cross multiply
    92,415x = 144,943.50 × 144,943.50
  4. Step 4: Simplify right side
    92,415x = 21,008,618,192.25
  5. Step 5: Solve for x
    x = 21,008,618,192.25/92,415
  6. Step 6: Final answer
    x = 227,329.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.