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Finding the Third Proportional to 92,510 and 146,346

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Solution

The third proportional to 92,510 and 146,346 is: 231,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,510 : 146,346 = 146,346 : x
  2. Step 2: Convert to fraction form
    92,510/146,346 = 146,346/x
  3. Step 3: Cross multiply
    92,510x = 146,346 × 146,346
  4. Step 4: Simplify right side
    92,510x = 21,417,151,716
  5. Step 5: Solve for x
    x = 21,417,151,716/92,510
  6. Step 6: Final answer
    x = 231,511.75

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.