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Finding the Third Proportional to 63,146 and 97,533.50

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Solution

The third proportional to 63,146 and 97,533.50 is: 150,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,146 : 97,533.50 = 97,533.50 : x
  2. Step 2: Convert to fraction form
    63,146/97,533.50 = 97,533.50/x
  3. Step 3: Cross multiply
    63,146x = 97,533.50 × 97,533.50
  4. Step 4: Simplify right side
    63,146x = 9,512,783,622.25
  5. Step 5: Solve for x
    x = 9,512,783,622.25/63,146
  6. Step 6: Final answer
    x = 150,647.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.