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Finding the Third Proportional to 124,551 and 257,968.13

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Solution

The third proportional to 124,551 and 257,968.13 is: 534,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,551 : 257,968.13 = 257,968.13 : x
  2. Step 2: Convert to fraction form
    124,551/257,968.13 = 257,968.13/x
  3. Step 3: Cross multiply
    124,551x = 257,968.13 × 257,968.13
  4. Step 4: Simplify right side
    124,551x = 66,547,553,516.02
  5. Step 5: Solve for x
    x = 66,547,553,516.02/124,551
  6. Step 6: Final answer
    x = 534,299.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.