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Finding the Third Proportional to 103,658 and 155,495

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Solution

The third proportional to 103,658 and 155,495 is: 233,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658 : 155,495 = 155,495 : x
  2. Step 2: Convert to fraction form
    103,658/155,495 = 155,495/x
  3. Step 3: Cross multiply
    103,658x = 155,495 × 155,495
  4. Step 4: Simplify right side
    103,658x = 24,178,695,025
  5. Step 5: Solve for x
    x = 24,178,695,025/103,658
  6. Step 6: Final answer
    x = 233,254.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.