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Finding the Third Proportional to 74,461 and 112,377

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Solution

The third proportional to 74,461 and 112,377 is: 169,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461 : 112,377 = 112,377 : x
  2. Step 2: Convert to fraction form
    74,461/112,377 = 112,377/x
  3. Step 3: Cross multiply
    74,461x = 112,377 × 112,377
  4. Step 4: Simplify right side
    74,461x = 12,628,590,129
  5. Step 5: Solve for x
    x = 12,628,590,129/74,461
  6. Step 6: Final answer
    x = 169,600.06

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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.