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Finding the Third Proportional to 52,607 and 114,502

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Solution

The third proportional to 52,607 and 114,502 is: 249,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,607 : 114,502 = 114,502 : x
  2. Step 2: Convert to fraction form
    52,607/114,502 = 114,502/x
  3. Step 3: Cross multiply
    52,607x = 114,502 × 114,502
  4. Step 4: Simplify right side
    52,607x = 13,110,708,004
  5. Step 5: Solve for x
    x = 13,110,708,004/52,607
  6. Step 6: Final answer
    x = 249,219.84

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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.