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Finding the Third Proportional to 64,557 and 139,834.13

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Solution

The third proportional to 64,557 and 139,834.13 is: 302,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,557 : 139,834.13 = 139,834.13 : x
  2. Step 2: Convert to fraction form
    64,557/139,834.13 = 139,834.13/x
  3. Step 3: Cross multiply
    64,557x = 139,834.13 × 139,834.13
  4. Step 4: Simplify right side
    64,557x = 19,553,582,514.52
  5. Step 5: Solve for x
    x = 19,553,582,514.52/64,557
  6. Step 6: Final answer
    x = 302,888.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.