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Finding the Third Proportional to 30,154.01 and 64,315.74

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Solution

The third proportional to 30,154.01 and 64,315.74 is: 137,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.01 : 64,315.74 = 64,315.74 : x
  2. Step 2: Convert to fraction form
    30,154.01/64,315.74 = 64,315.74/x
  3. Step 3: Cross multiply
    30,154.01x = 64,315.74 × 64,315.74
  4. Step 4: Simplify right side
    30,154.01x = 4,136,514,441.90
  5. Step 5: Solve for x
    x = 4,136,514,441.90/30,154.01
  6. Step 6: Final answer
    x = 137,179.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.