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Finding the Third Proportional to 58,305 and 89,146.50

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Solution

The third proportional to 58,305 and 89,146.50 is: 136,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,305 : 89,146.50 = 89,146.50 : x
  2. Step 2: Convert to fraction form
    58,305/89,146.50 = 89,146.50/x
  3. Step 3: Cross multiply
    58,305x = 89,146.50 × 89,146.50
  4. Step 4: Simplify right side
    58,305x = 7,947,098,462.25
  5. Step 5: Solve for x
    x = 7,947,098,462.25/58,305
  6. Step 6: Final answer
    x = 136,302.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.