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Finding the Third Proportional to 92,368 and 143,300

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Solution

The third proportional to 92,368 and 143,300 is: 222,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,368 : 143,300 = 143,300 : x
  2. Step 2: Convert to fraction form
    92,368/143,300 = 143,300/x
  3. Step 3: Cross multiply
    92,368x = 143,300 × 143,300
  4. Step 4: Simplify right side
    92,368x = 20,534,890,000
  5. Step 5: Solve for x
    x = 20,534,890,000/92,368
  6. Step 6: Final answer
    x = 222,316.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.