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Finding the Third Proportional to 65,490.19 and 141,412.50

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Solution

The third proportional to 65,490.19 and 141,412.50 is: 305,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,490.19 : 141,412.50 = 141,412.50 : x
  2. Step 2: Convert to fraction form
    65,490.19/141,412.50 = 141,412.50/x
  3. Step 3: Cross multiply
    65,490.19x = 141,412.50 × 141,412.50
  4. Step 4: Simplify right side
    65,490.19x = 19,997,495,156.25
  5. Step 5: Solve for x
    x = 19,997,495,156.25/65,490.19
  6. Step 6: Final answer
    x = 305,351.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.