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Finding the Third Proportional to 64,594 and 139,082

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Solution

The third proportional to 64,594 and 139,082 is: 299,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,594 : 139,082 = 139,082 : x
  2. Step 2: Convert to fraction form
    64,594/139,082 = 139,082/x
  3. Step 3: Cross multiply
    64,594x = 139,082 × 139,082
  4. Step 4: Simplify right side
    64,594x = 19,343,802,724
  5. Step 5: Solve for x
    x = 19,343,802,724/64,594
  6. Step 6: Final answer
    x = 299,467.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.