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Finding the Third Proportional to 61,696.50 and 134,547

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Solution

The third proportional to 61,696.50 and 134,547 is: 293,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,696.50 : 134,547 = 134,547 : x
  2. Step 2: Convert to fraction form
    61,696.50/134,547 = 134,547/x
  3. Step 3: Cross multiply
    61,696.50x = 134,547 × 134,547
  4. Step 4: Simplify right side
    61,696.50x = 18,102,895,209
  5. Step 5: Solve for x
    x = 18,102,895,209/61,696.50
  6. Step 6: Final answer
    x = 293,418.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.