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Finding the Third Proportional to 58,507 and 114,097

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Solution

The third proportional to 58,507 and 114,097 is: 222,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,507 : 114,097 = 114,097 : x
  2. Step 2: Convert to fraction form
    58,507/114,097 = 114,097/x
  3. Step 3: Cross multiply
    58,507x = 114,097 × 114,097
  4. Step 4: Simplify right side
    58,507x = 13,018,125,409
  5. Step 5: Solve for x
    x = 13,018,125,409/58,507
  6. Step 6: Final answer
    x = 222,505.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.