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Finding the Third Proportional to 45,312 and 97,104

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Solution

The third proportional to 45,312 and 97,104 is: 208,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 97,104 = 97,104 : x
  2. Step 2: Convert to fraction form
    45,312/97,104 = 97,104/x
  3. Step 3: Cross multiply
    45,312x = 97,104 × 97,104
  4. Step 4: Simplify right side
    45,312x = 9,429,186,816
  5. Step 5: Solve for x
    x = 9,429,186,816/45,312
  6. Step 6: Final answer
    x = 208,094.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.