Finding the Third Proportional to 137,742.75 and 201,898.13
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Solution
The third proportional to 137,742.75 and 201,898.13 is: 295,934.65
Step by Step Solution
- Step 1: Write the proportion equation
137,742.75 : 201,898.13 = 201,898.13 : x - Step 2: Convert to fraction form
137,742.75/201,898.13 = 201,898.13/x - Step 3: Cross multiply
137,742.75x = 201,898.13 × 201,898.13 - Step 4: Simplify right side
137,742.75x = 40,762,852,878.52 - Step 5: Solve for x
x = 40,762,852,878.52/137,742.75 - Step 6: Final answer
x = 295,934.65
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.