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Finding the Third Proportional to 58,253 and 84,553

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Solution

The third proportional to 58,253 and 84,553 is: 122,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,253 : 84,553 = 84,553 : x
  2. Step 2: Convert to fraction form
    58,253/84,553 = 84,553/x
  3. Step 3: Cross multiply
    58,253x = 84,553 × 84,553
  4. Step 4: Simplify right side
    58,253x = 7,149,209,809
  5. Step 5: Solve for x
    x = 7,149,209,809/58,253
  6. Step 6: Final answer
    x = 122,726.89

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.