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Finding the Third Proportional to 30,167 and 64,959

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Solution

The third proportional to 30,167 and 64,959 is: 139,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167 : 64,959 = 64,959 : x
  2. Step 2: Convert to fraction form
    30,167/64,959 = 64,959/x
  3. Step 3: Cross multiply
    30,167x = 64,959 × 64,959
  4. Step 4: Simplify right side
    30,167x = 4,219,671,681
  5. Step 5: Solve for x
    x = 4,219,671,681/30,167
  6. Step 6: Final answer
    x = 139,877.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.