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Finding the Third Proportional to 64,130 and 97,335

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Solution

The third proportional to 64,130 and 97,335 is: 147,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,130 : 97,335 = 97,335 : x
  2. Step 2: Convert to fraction form
    64,130/97,335 = 97,335/x
  3. Step 3: Cross multiply
    64,130x = 97,335 × 97,335
  4. Step 4: Simplify right side
    64,130x = 9,474,102,225
  5. Step 5: Solve for x
    x = 9,474,102,225/64,130
  6. Step 6: Final answer
    x = 147,732.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.