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Finding the Third Proportional to 103,460 and 156,054

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Solution

The third proportional to 103,460 and 156,054 is: 235,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,460 : 156,054 = 156,054 : x
  2. Step 2: Convert to fraction form
    103,460/156,054 = 156,054/x
  3. Step 3: Cross multiply
    103,460x = 156,054 × 156,054
  4. Step 4: Simplify right side
    103,460x = 24,352,850,916
  5. Step 5: Solve for x
    x = 24,352,850,916/103,460
  6. Step 6: Final answer
    x = 235,384.22

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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.