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Finding the Third Proportional to 94,364 and 147,288

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Solution

The third proportional to 94,364 and 147,288 is: 229,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,364 : 147,288 = 147,288 : x
  2. Step 2: Convert to fraction form
    94,364/147,288 = 147,288/x
  3. Step 3: Cross multiply
    94,364x = 147,288 × 147,288
  4. Step 4: Simplify right side
    94,364x = 21,693,754,944
  5. Step 5: Solve for x
    x = 21,693,754,944/94,364
  6. Step 6: Final answer
    x = 229,894.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.