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Finding the Third Proportional to 53,403 and 113,709

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Solution

The third proportional to 53,403 and 113,709 is: 242,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,403 : 113,709 = 113,709 : x
  2. Step 2: Convert to fraction form
    53,403/113,709 = 113,709/x
  3. Step 3: Cross multiply
    53,403x = 113,709 × 113,709
  4. Step 4: Simplify right side
    53,403x = 12,929,736,681
  5. Step 5: Solve for x
    x = 12,929,736,681/53,403
  6. Step 6: Final answer
    x = 242,116.30

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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.