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Finding the Third Proportional to 75,312 and 116,541

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Solution

The third proportional to 75,312 and 116,541 is: 180,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,312 : 116,541 = 116,541 : x
  2. Step 2: Convert to fraction form
    75,312/116,541 = 116,541/x
  3. Step 3: Cross multiply
    75,312x = 116,541 × 116,541
  4. Step 4: Simplify right side
    75,312x = 13,581,804,681
  5. Step 5: Solve for x
    x = 13,581,804,681/75,312
  6. Step 6: Final answer
    x = 180,340.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.