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Finding the Third Proportional to 65,028 and 141,127.50

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Solution

The third proportional to 65,028 and 141,127.50 is: 306,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,028 : 141,127.50 = 141,127.50 : x
  2. Step 2: Convert to fraction form
    65,028/141,127.50 = 141,127.50/x
  3. Step 3: Cross multiply
    65,028x = 141,127.50 × 141,127.50
  4. Step 4: Simplify right side
    65,028x = 19,916,971,256.25
  5. Step 5: Solve for x
    x = 19,916,971,256.25/65,028
  6. Step 6: Final answer
    x = 306,283.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.