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Finding the Third Proportional to 77,451 and 114,737

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Solution

The third proportional to 77,451 and 114,737 is: 169,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,451 : 114,737 = 114,737 : x
  2. Step 2: Convert to fraction form
    77,451/114,737 = 114,737/x
  3. Step 3: Cross multiply
    77,451x = 114,737 × 114,737
  4. Step 4: Simplify right side
    77,451x = 13,164,579,169
  5. Step 5: Solve for x
    x = 13,164,579,169/77,451
  6. Step 6: Final answer
    x = 169,973.00

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.