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Finding the Third Proportional to 53,050 and 114,402

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Solution

The third proportional to 53,050 and 114,402 is: 246,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,050 : 114,402 = 114,402 : x
  2. Step 2: Convert to fraction form
    53,050/114,402 = 114,402/x
  3. Step 3: Cross multiply
    53,050x = 114,402 × 114,402
  4. Step 4: Simplify right side
    53,050x = 13,087,817,604
  5. Step 5: Solve for x
    x = 13,087,817,604/53,050
  6. Step 6: Final answer
    x = 246,707.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.