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Finding the Third Proportional to 34,913 and 75,363

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Solution

The third proportional to 34,913 and 75,363 is: 162,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,913 : 75,363 = 75,363 : x
  2. Step 2: Convert to fraction form
    34,913/75,363 = 75,363/x
  3. Step 3: Cross multiply
    34,913x = 75,363 × 75,363
  4. Step 4: Simplify right side
    34,913x = 5,679,581,769
  5. Step 5: Solve for x
    x = 5,679,581,769/34,913
  6. Step 6: Final answer
    x = 162,678.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.