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Finding the Third Proportional to 46,254 and 61,492

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Solution

The third proportional to 46,254 and 61,492 is: 81,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,254 : 61,492 = 61,492 : x
  2. Step 2: Convert to fraction form
    46,254/61,492 = 61,492/x
  3. Step 3: Cross multiply
    46,254x = 61,492 × 61,492
  4. Step 4: Simplify right side
    46,254x = 3,781,266,064
  5. Step 5: Solve for x
    x = 3,781,266,064/46,254
  6. Step 6: Final answer
    x = 81,750.03

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.