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Finding the Third Proportional to 105,488 and 158,253

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Solution

The third proportional to 105,488 and 158,253 is: 237,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,488 : 158,253 = 158,253 : x
  2. Step 2: Convert to fraction form
    105,488/158,253 = 158,253/x
  3. Step 3: Cross multiply
    105,488x = 158,253 × 158,253
  4. Step 4: Simplify right side
    105,488x = 25,044,012,009
  5. Step 5: Solve for x
    x = 25,044,012,009/105,488
  6. Step 6: Final answer
    x = 237,411.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.