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Finding the Third Proportional to 72,457 and 153,054

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Solution

The third proportional to 72,457 and 153,054 is: 323,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,457 : 153,054 = 153,054 : x
  2. Step 2: Convert to fraction form
    72,457/153,054 = 153,054/x
  3. Step 3: Cross multiply
    72,457x = 153,054 × 153,054
  4. Step 4: Simplify right side
    72,457x = 23,425,526,916
  5. Step 5: Solve for x
    x = 23,425,526,916/72,457
  6. Step 6: Final answer
    x = 323,302.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.