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Finding the Third Proportional to 58,746 and 83,745

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Solution

The third proportional to 58,746 and 83,745 is: 119,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,746 : 83,745 = 83,745 : x
  2. Step 2: Convert to fraction form
    58,746/83,745 = 83,745/x
  3. Step 3: Cross multiply
    58,746x = 83,745 × 83,745
  4. Step 4: Simplify right side
    58,746x = 7,013,225,025
  5. Step 5: Solve for x
    x = 7,013,225,025/58,746
  6. Step 6: Final answer
    x = 119,382.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.