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Finding the Third Proportional to 64,607.50 and 94,785

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Solution

The third proportional to 64,607.50 and 94,785 is: 139,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,607.50 : 94,785 = 94,785 : x
  2. Step 2: Convert to fraction form
    64,607.50/94,785 = 94,785/x
  3. Step 3: Cross multiply
    64,607.50x = 94,785 × 94,785
  4. Step 4: Simplify right side
    64,607.50x = 8,984,196,225
  5. Step 5: Solve for x
    x = 8,984,196,225/64,607.50
  6. Step 6: Final answer
    x = 139,058.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.