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Finding the Third Proportional to 91,368 and 143,208

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Solution

The third proportional to 91,368 and 143,208 is: 224,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,368 : 143,208 = 143,208 : x
  2. Step 2: Convert to fraction form
    91,368/143,208 = 143,208/x
  3. Step 3: Cross multiply
    91,368x = 143,208 × 143,208
  4. Step 4: Simplify right side
    91,368x = 20,508,531,264
  5. Step 5: Solve for x
    x = 20,508,531,264/91,368
  6. Step 6: Final answer
    x = 224,460.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.