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Finding the Third Proportional to 109,056 and 146,547

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Solution

The third proportional to 109,056 and 146,547 is: 196,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,056 : 146,547 = 146,547 : x
  2. Step 2: Convert to fraction form
    109,056/146,547 = 146,547/x
  3. Step 3: Cross multiply
    109,056x = 146,547 × 146,547
  4. Step 4: Simplify right side
    109,056x = 21,476,023,209
  5. Step 5: Solve for x
    x = 21,476,023,209/109,056
  6. Step 6: Final answer
    x = 196,926.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.