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Finding the Third Proportional to 45,752 and 97,335

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Solution

The third proportional to 45,752 and 97,335 is: 207,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,752 : 97,335 = 97,335 : x
  2. Step 2: Convert to fraction form
    45,752/97,335 = 97,335/x
  3. Step 3: Cross multiply
    45,752x = 97,335 × 97,335
  4. Step 4: Simplify right side
    45,752x = 9,474,102,225
  5. Step 5: Solve for x
    x = 9,474,102,225/45,752
  6. Step 6: Final answer
    x = 207,075.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.