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Finding the Third Proportional to 105,246.84 and 161,762.06

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Solution

The third proportional to 105,246.84 and 161,762.06 is: 248,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,246.84 : 161,762.06 = 161,762.06 : x
  2. Step 2: Convert to fraction form
    105,246.84/161,762.06 = 161,762.06/x
  3. Step 3: Cross multiply
    105,246.84x = 161,762.06 × 161,762.06
  4. Step 4: Simplify right side
    105,246.84x = 26,166,964,864.25
  5. Step 5: Solve for x
    x = 26,166,964,864.25/105,246.84
  6. Step 6: Final answer
    x = 248,624.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.