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Finding the Third Proportional to 84,964 and 187,076

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Solution

The third proportional to 84,964 and 187,076 is: 411,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,964 : 187,076 = 187,076 : x
  2. Step 2: Convert to fraction form
    84,964/187,076 = 187,076/x
  3. Step 3: Cross multiply
    84,964x = 187,076 × 187,076
  4. Step 4: Simplify right side
    84,964x = 34,997,429,776
  5. Step 5: Solve for x
    x = 34,997,429,776/84,964
  6. Step 6: Final answer
    x = 411,908.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.