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Finding the Third Proportional to 103,752 and 162,585

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Solution

The third proportional to 103,752 and 162,585 is: 254,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,752 : 162,585 = 162,585 : x
  2. Step 2: Convert to fraction form
    103,752/162,585 = 162,585/x
  3. Step 3: Cross multiply
    103,752x = 162,585 × 162,585
  4. Step 4: Simplify right side
    103,752x = 26,433,882,225
  5. Step 5: Solve for x
    x = 26,433,882,225/103,752
  6. Step 6: Final answer
    x = 254,779.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.