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Finding the Third Proportional to 65,527 and 139,633

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Solution

The third proportional to 65,527 and 139,633 is: 297,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,527 : 139,633 = 139,633 : x
  2. Step 2: Convert to fraction form
    65,527/139,633 = 139,633/x
  3. Step 3: Cross multiply
    65,527x = 139,633 × 139,633
  4. Step 4: Simplify right side
    65,527x = 19,497,374,689
  5. Step 5: Solve for x
    x = 19,497,374,689/65,527
  6. Step 6: Final answer
    x = 297,547.19

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Why These Related Problems?

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