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Finding the Third Proportional to 77,465 and 118,424

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Solution

The third proportional to 77,465 and 118,424 is: 181,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,465 : 118,424 = 118,424 : x
  2. Step 2: Convert to fraction form
    77,465/118,424 = 118,424/x
  3. Step 3: Cross multiply
    77,465x = 118,424 × 118,424
  4. Step 4: Simplify right side
    77,465x = 14,024,243,776
  5. Step 5: Solve for x
    x = 14,024,243,776/77,465
  6. Step 6: Final answer
    x = 181,039.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.