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Finding the Third Proportional to 106,710 and 247,046.25

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Solution

The third proportional to 106,710 and 247,046.25 is: 571,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,710 : 247,046.25 = 247,046.25 : x
  2. Step 2: Convert to fraction form
    106,710/247,046.25 = 247,046.25/x
  3. Step 3: Cross multiply
    106,710x = 247,046.25 × 247,046.25
  4. Step 4: Simplify right side
    106,710x = 61,031,849,639.06
  5. Step 5: Solve for x
    x = 61,031,849,639.06/106,710
  6. Step 6: Final answer
    x = 571,941.24

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.