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Finding the Third Proportional to 46,068 and 69,582

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Solution

The third proportional to 46,068 and 69,582 is: 105,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,068 : 69,582 = 69,582 : x
  2. Step 2: Convert to fraction form
    46,068/69,582 = 69,582/x
  3. Step 3: Cross multiply
    46,068x = 69,582 × 69,582
  4. Step 4: Simplify right side
    46,068x = 4,841,654,724
  5. Step 5: Solve for x
    x = 4,841,654,724/46,068
  6. Step 6: Final answer
    x = 105,098.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.