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Finding the Third Proportional to 102,827 and 155,537

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Solution

The third proportional to 102,827 and 155,537 is: 235,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,827 : 155,537 = 155,537 : x
  2. Step 2: Convert to fraction form
    102,827/155,537 = 155,537/x
  3. Step 3: Cross multiply
    102,827x = 155,537 × 155,537
  4. Step 4: Simplify right side
    102,827x = 24,191,758,369
  5. Step 5: Solve for x
    x = 24,191,758,369/102,827
  6. Step 6: Final answer
    x = 235,266.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.