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Finding the Third Proportional to 55,582 and 121,705

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Solution

The third proportional to 55,582 and 121,705 is: 266,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,582 : 121,705 = 121,705 : x
  2. Step 2: Convert to fraction form
    55,582/121,705 = 121,705/x
  3. Step 3: Cross multiply
    55,582x = 121,705 × 121,705
  4. Step 4: Simplify right side
    55,582x = 14,812,107,025
  5. Step 5: Solve for x
    x = 14,812,107,025/55,582
  6. Step 6: Final answer
    x = 266,491.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.