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Finding the Third Proportional to 102,582 and 221,562

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Solution

The third proportional to 102,582 and 221,562 is: 478,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582 : 221,562 = 221,562 : x
  2. Step 2: Convert to fraction form
    102,582/221,562 = 221,562/x
  3. Step 3: Cross multiply
    102,582x = 221,562 × 221,562
  4. Step 4: Simplify right side
    102,582x = 49,089,719,844
  5. Step 5: Solve for x
    x = 49,089,719,844/102,582
  6. Step 6: Final answer
    x = 478,541.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.