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Finding the Third Proportional to 53,216 and 115,168

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Solution

The third proportional to 53,216 and 115,168 is: 249,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,216 : 115,168 = 115,168 : x
  2. Step 2: Convert to fraction form
    53,216/115,168 = 115,168/x
  3. Step 3: Cross multiply
    53,216x = 115,168 × 115,168
  4. Step 4: Simplify right side
    53,216x = 13,263,668,224
  5. Step 5: Solve for x
    x = 13,263,668,224/53,216
  6. Step 6: Final answer
    x = 249,242.11

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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.