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Finding the Third Proportional to 68,895 and 97,513.13

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Solution

The third proportional to 68,895 and 97,513.13 is: 138,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,895 : 97,513.13 = 97,513.13 : x
  2. Step 2: Convert to fraction form
    68,895/97,513.13 = 97,513.13/x
  3. Step 3: Cross multiply
    68,895x = 97,513.13 × 97,513.13
  4. Step 4: Simplify right side
    68,895x = 9,508,809,547.27
  5. Step 5: Solve for x
    x = 9,508,809,547.27/68,895
  6. Step 6: Final answer
    x = 138,018.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.