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Finding the Third Proportional to 132,082.50 and 257,547

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Solution

The third proportional to 132,082.50 and 257,547 is: 502,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,082.50 : 257,547 = 257,547 : x
  2. Step 2: Convert to fraction form
    132,082.50/257,547 = 257,547/x
  3. Step 3: Cross multiply
    132,082.50x = 257,547 × 257,547
  4. Step 4: Simplify right side
    132,082.50x = 66,330,457,209
  5. Step 5: Solve for x
    x = 66,330,457,209/132,082.50
  6. Step 6: Final answer
    x = 502,189.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.