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Finding the Third Proportional to 73,575 and 96,916.50

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Solution

The third proportional to 73,575 and 96,916.50 is: 127,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,575 : 96,916.50 = 96,916.50 : x
  2. Step 2: Convert to fraction form
    73,575/96,916.50 = 96,916.50/x
  3. Step 3: Cross multiply
    73,575x = 96,916.50 × 96,916.50
  4. Step 4: Simplify right side
    73,575x = 9,392,807,972.25
  5. Step 5: Solve for x
    x = 9,392,807,972.25/73,575
  6. Step 6: Final answer
    x = 127,663.04

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.