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Finding the Third Proportional to 61,232 and 93,672

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Solution

The third proportional to 61,232 and 93,672 is: 143,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,232 : 93,672 = 93,672 : x
  2. Step 2: Convert to fraction form
    61,232/93,672 = 93,672/x
  3. Step 3: Cross multiply
    61,232x = 93,672 × 93,672
  4. Step 4: Simplify right side
    61,232x = 8,774,443,584
  5. Step 5: Solve for x
    x = 8,774,443,584/61,232
  6. Step 6: Final answer
    x = 143,298.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.