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Finding the Third Proportional to 74,232 and 109,953

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Solution

The third proportional to 74,232 and 109,953 is: 162,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,232 : 109,953 = 109,953 : x
  2. Step 2: Convert to fraction form
    74,232/109,953 = 109,953/x
  3. Step 3: Cross multiply
    74,232x = 109,953 × 109,953
  4. Step 4: Simplify right side
    74,232x = 12,089,662,209
  5. Step 5: Solve for x
    x = 12,089,662,209/74,232
  6. Step 6: Final answer
    x = 162,863.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.