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Finding the Third Proportional to 64,111 and 99,527

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Solution

The third proportional to 64,111 and 99,527 is: 154,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,111 : 99,527 = 99,527 : x
  2. Step 2: Convert to fraction form
    64,111/99,527 = 99,527/x
  3. Step 3: Cross multiply
    64,111x = 99,527 × 99,527
  4. Step 4: Simplify right side
    64,111x = 9,905,623,729
  5. Step 5: Solve for x
    x = 9,905,623,729/64,111
  6. Step 6: Final answer
    x = 154,507.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.