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Finding the Third Proportional to 45,796 and 72,382

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Solution

The third proportional to 45,796 and 72,382 is: 114,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,796 : 72,382 = 72,382 : x
  2. Step 2: Convert to fraction form
    45,796/72,382 = 72,382/x
  3. Step 3: Cross multiply
    45,796x = 72,382 × 72,382
  4. Step 4: Simplify right side
    45,796x = 5,239,153,924
  5. Step 5: Solve for x
    x = 5,239,153,924/45,796
  6. Step 6: Final answer
    x = 114,402.00

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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.