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Finding the Third Proportional to 58,503 and 138,056.25

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Solution

The third proportional to 58,503 and 138,056.25 is: 325,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,503 : 138,056.25 = 138,056.25 : x
  2. Step 2: Convert to fraction form
    58,503/138,056.25 = 138,056.25/x
  3. Step 3: Cross multiply
    58,503x = 138,056.25 × 138,056.25
  4. Step 4: Simplify right side
    58,503x = 19,059,528,164.06
  5. Step 5: Solve for x
    x = 19,059,528,164.06/58,503
  6. Step 6: Final answer
    x = 325,787.19

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.